解方程:(x+4/x+3)+(x+8/x+7)=(x/x-1)+(x+12/x+11)
解方程:(x+4/x+3)+(x+8/x+7)=(x/x-1)+(x+12/x+11)
(x+4/x+3)+(x+8/x+7)=(x/x-1)+(x+12/x+11)
(x+8)/(x+7)-(x+12)/(x+11)=x/(x-1)-(x+4)/(x+3)
1+1/(x+7)-1-1/(x+11)=1+1/(x-1)-1-1/(x+3)
1/(x+7)-1/(x+11)=1/(x-1)-1/(x+3)
(x+11-x-7)/[(x+7)(x+11)]=(x+3-x+1)/[(x-1)(x+3)]
4/[(x+7)(x+11)]=4/[(x-1)(x+3)]
∴(x+7)(x+11)=(x-1)(x+3)
x²+18x+77=x²+2x-3
16x=-80
x=-5
经检验,是原方程的根。
解方程:(x+8)/(x+7)+(x+10)/(x+9)=(x+7)/(x+6)+(x+11)/(x+10
-8
原式化简
(x+8)/(x+7)-(x+7)/(x+6)=(x+11)/(x+10)-(x+10)/(x+9)
(X+6)(X+7)=(X+9)(X+10)
13X+42=19X+90
X=-8
x+4/4=x+12/1+x/3的解方程八年级
x+4/4=x+12/1+x/3
X+1=X+X/3+12
X-X-X/3=12-1
-X/3=11
X =-33
请采纳
解方程:(x-8)/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3)
(x+8)/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3)
解:通分得
[(x-8)(x-4)-(x-9)(x-3)]/(x-3)(x-4)
=[(x+7)(x+3)-(x+2)(x+8)]/(x+8)(x+3)
解得5/(x-3)(x-4)=5/(x+8)(x+3),
所以(x-3)(x-4)=(x+8)(x+3),
解得x=-2/3
解方程⑴ x/(2x^2-11x-21)=(x+7)/(x^2-12x+35)
x/(2x^2-11x-21)=(x+7)/(x^2-12x+35)
x/(2x+3)(x-7)=(x+7)/(x-5)(x-7)约去x-7(显然x=7不是方肆碰含程的根)
x/(2x+3)=(x+7)/(x-5)交叉相乘
x(x-5)=(x+7)(2x-3)然后吵孙你就应该会了,整理解一元二次方程。
第二个方程表达裂笑的结构层次不是太清晰?
希望能帮到你:)
(2x-1)/(x-1)(x-2)=(x-5)/(x-2)(x-3) x/2x^2-11x-21=(x+7)/x^2-12x+35 解方程 谢谢啦
这是两道题吗?
1、两边同时乘(x-1)(x-2)(x-3)
答案是x1=-1,x2=2
2、分母因式分解
分别为(x-7)(2x+3)和(x-5)(x-7)
然后同时乘(x-5)(x-7)(2x+3)
答案是x1=-1,x2=-21
你会解方程x/(x-1) -(x-1)/(x-2) =(x-3)/(x-4) -(x-4)/(x-5)吗
x/(x-1) -(x-1)/(x-2) =(x-3)/(x-4) -(x-4)/(x-5)
[1+1/(x-1)]-[1+1/(x-2)]=[1+1/(x-4)]-[1+1/(x-5)]
1/(x-1)-1/(x-2)=1/(x-4)-1/(x-5)
1/(x-1)+1/(x-5)=1/(x-4)+1/(x-2)
[(x-1)+(x-5)]/[(x-1)(x-5)]=[(x-2)+(x-4)]/[(x-2)(x-4)]
(2x-6)/(x^2-6x+5)=(2x-6)/(x^2-6x+8)
2x-6=0或x^2-6x+5=x^2-6x+8
x=3
解方程,x/x+3 -1=18/x²-9
解
x/(x+3)-1=18/(x²-9)
x/(x+3)-(x+3)/(x+3)=18/(x-3)(x+3)
-3/(x+3)=18/(x-3)(x+3)
-3=18/(x-3)
-3x+9=18
-3x=9
x=-3
带入x=-3时,方程无意义,所以无解
解方程 x+5/x+7-x+3/x+5=x+4/x+6-x+2/x+4
∵(x+5)/(x+7)-(x+3)/(x+5)=(x+4)/(x+6)-(x+2)/(x+4),
∴(x+5)/(x+7)+(x+2)/(x+4)=(x+4)/(x+6)+(x+3)/(x+5),
左右分别通分,得:
[(x^2+9x+20)+(x^2+9x+14)]/(x^2+11x+28)
=[(x^2+9x+20)+(x^2+9x+18)]/(x^2+11x+30),
∴(x^2+9x+17)/(x^2+11x+28)=(x^2+9x+19)/(x^2+11x+30)。
令x^2+9x+18=m、x^2+11x+29=n,则:(m-1)/(n-1)=(m+1)/(n+1),
∴(m-1)(n+1)=(m+1)(n-1),∴mn+m-n-1=mn-m+n-1,∴m=n,
∴x^2+9x+18=x^2+11x+29,2x=-11,∴x=-11/2。
经检验,x=-11/2 是原方程的解。
注:请注意括号的正确使用,以免造成误解。
解方程:x/1=x+3/5(x+3)/5 谢谢
你的方程写的搞不清楚啊